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Question
Give possible expression for the length and breadth of the following rectangle, in which their area are given:
| Area : 25a2 – 35a + 12 |
Solution
Area = Length × Breadth
The expression given for the area of the rectangle has to be factorised. One of its factors will be its length and the other will be its breadth.
Area of a rectangle = (Length) × (Breadth)
25a2 – 35a + 12 = 25a2 – 15a − 20a + 12
= 5a(5a – 4) – 3(5a – 4)
= (5a – 4)(5a – 3)
Possible expression for length = 5a – 4
Possible expression for breadth = 5a – 3
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